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Finding the Third Proportional to 286,532,361,603 and 613,315,710,252

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Solution

The third proportional to 286,532,361,603 and 613,315,710,252 is: 1,312,787,701,666.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,532,361,603 : 613,315,710,252 = 613,315,710,252 : x
  2. Step 2: Convert to fraction form
    286,532,361,603/613,315,710,252 = 613,315,710,252/x
  3. Step 3: Cross multiply
    286,532,361,603x = 613,315,710,252 × 613,315,710,252
  4. Step 4: Simplify right side
    286,532,361,603x = 376,156,160,441,915,224,883,200
  5. Step 5: Solve for x
    x = 376,156,160,441,915,224,883,200/286,532,361,603
  6. Step 6: Final answer
    x = 1,312,787,701,666.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.